https://www.youtube.com/watch?v=2YpE4_HIAn8&list=PL0G-Nd0V5ZMp53jELWvQp4KFgD-pLmQ0Q sqrt 48x2y5
https://www.youtube.com/watch?v=lbzNKQnpVVs&list=PL0G-Nd0V5ZMp53jELWvQp4KFgD-pLmQ0Q&index=38 sqrt 144x4y3
https://www.youtube.com/watch?v=loHF2p1eNQw&list=PL0G-Nd0V5ZMp53jELWvQp4KFgD-pLmQ0Q&index=5 5*sqrt 200
9-3 Rewriting Radical Expressions – We practiced using the properties of exponents to rewrite radical expressions. Then we multiplied radical expressions. Next we learned to write a radical expression to model or represent a real-world problem. We practiced writing radical expressions in simplest form which is where there are no perfect square factors other than one in the radicand.
Assignment: Complete the assigned problems for homework.
9-3 Rewriting Radical Expressions – We went over the homework that was assigned on simplifying radicals. Then we solved several radicals and were introduced to solving radical expressions.
Assignment: Complete the assigned problems for homework.
9-2 Solving Quadratic Equations by Factoring – We practiced using the Zero-Product Property and factoring to find the solutions of a quadratic equation. Then we calculated the vertex. Next we used the zeros of a quadratic equation and the vertex to sketch the graph. Next we reviewed how to write the factored form of a quadratic function from the graph.
9-3 Rewriting Radical Expressions – We learned about radicals, radical expressions, and perfect square factors.
Assignment: Complete the assigned problems for homework and the take home quiz.
Go over homework and graph several quadratic equations using factoring and vertex formula as well as tables.
9-2 Solving Quadratic Equations by Factoring – We reviewed the Zero-Product Property and factoring to find the solutions of a quadratic equation. Then we used the zeros of a quadratic equation to sketch a graph. Next we reviewed how to write the factored form of a quadratic function from the graph.
Assignment: Complete the take home test on 9-1 Solving Quadratic Equations Using Graphs and Tables for homework.
Session Minutes
120
Minutes Student Attended
90
Lesson Comments
Bella had to leave a little early. She is going to finish what we started tonight.
9-1 Solving Quadratic Equations Using Graphs and Tables – We reviewed how to use a graph to identify the x-intercepts as solutions of a quadratic equation. If the graph of the function has no x-intercepts then the equation has no real solutions. If the graph touches the x-axis but does not cross it then there is only one x-intercept and one real solution. Next we practiced finding the vertex of the parabola by putting the equation in the form ax2 + bx + c and calculating the x-coordinate by the formula –b/2a and
we found the y-coordinate by using the formula –b/2a. Next we plugged the x-coordinate of the vertex into the original quadratic equation to find the y-coordinate of the vertex. Bella did some practice problems to ensure that she is prepared to do her homework.
Assignment: Complete the assigned problems for homework.
9-5 Completing the Square – We reviewed that Completing the square is a method that is used for converting a quadratic expression of the form ax2 + bx + c to the vertex form a(x - h)2 + k. The most common application of completing the square is in solving a quadratic equation. This can be done by rearranging the expression obtained after completing the square: a(x + m)2 + n, such that the left side is a perfect square trinomial. Completing the square method is useful in:
• Converting a quadratic expression into vertex form.
• Analyzing at which point the quadratic expression has minimum/maximum value.
• Graphing a quadratic function.
• Solving a quadratic equation.
• Deriving the quadratic formula.
8-3 Quadratic Functions in Standard Form – We learned to compare properties of quadratic functions. We found the x coordinate by using the formula –b/2a. Next we plugged the x value into the equation to find the y value. Then we applied these principles to real-world problems.
Assignment: Complete the assigned problems for homework.
9-6 the Quadratic Formula and the Discriminant – We learned that the discriminant of a polynomial is a quantity that depends on the coefficients and determines various properties of the roots. It is generally defined as a polynomial function of the coefficients of the original polynomial.
Assignment: Find the discriminants of the assigned problems and determine the number of solutions for each quadratic equation for homework.